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Finding the Fourth Proportional to 16,322, 22,524.54 and 8,870

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Solution

The fourth proportional to 16,322, 22,524.54 and 8,870 is: 12,240.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,322 : 22,524.54 = 8,870 : x
  2. Step 2: Convert to fraction form
    16,322/22,524.54 = 8,870/x
  3. Step 3: Cross multiply
    16,322x = 22,524.54 × 8,870
  4. Step 4: Simplify right side
    16,322x = 199,792,669.80
  5. Step 5: Solve for x
    x = 199,792,669.80/16,322
  6. Step 6: Final answer
    x = 12,240.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.